Can I read Topology : A Categorical Approach on EtoBox?

Topology : A Categorical Approach by Tai-Danae Bradley, Tyler Bryson, John Terilla is a nonfiction available to read on EtoBox.

What is Topology : A Categorical Approach about?

A graduate-level textbook that presents basic topology from the perspective of category theory. This graduate-level textbook on topology takes a unique approach: it reintroduces basic, point-set topology from a more modern, categorical perspective. Many graduate students are familiar with the ideas of point-set topology and they are ready to learn something new about them. Teaching the subject using category theory—a contemporary branch of mathematics that provides a way to represent abstract concepts—both deepens students' understanding of elementary topology and lays a solid foundation for future work in advanced topics. After presenting the basics of both category theory and topology, the book covers the universal properties of familiar constructions and three main topological properties—connectedness, Hausdorff, and compactness. It presents a fine-grained approach to convergence of sequences and filters; explores categorical limits and colimits, with examples; looks in detail at adjunctions in topology, particularly in mapping spaces; and examines additional adjunctions, presenting ideas from homotopy theory, the fundamental groupoid, and the Seifert van Kampen theorem. End-of

Who reads Topology : A Categorical Approach?

Author

Tai-Danae Bradley, Tyler Bryson, John Terilla

Publisher

The MIT Press

Published

2020

Language

EN

ISBN

9780262539357

Category

nonfiction

Subjects

Mathematics, Stem